One-fluid Relativistic Magnetohydrodynamic Equations for a Two-fluid Plasma with the Landau–Lifshitz Radiation Reaction Force

By taking into account the radiation reaction force, we derive a set of one-fluid relativistic magnetohydrody-namics (RMHD) equations with the Landau-Lifshitz radiation reaction force based on a relativistic two-fluid plasma. These equations could be used to situations where spatiotemporal scales of plasma's motion are suffi-ciently large.